Finding the Fourth Proportional to 10,265.25, 14,164.83 and 5,788.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.25 : 14,164.83 = 5,788.72 : x
2. Step 2: Convert to fraction form
   10,265.25/14,164.83 = 5,788.72/x
3. Step 3: Cross multiply
   10,265.25x = 14,164.83 × 5,788.72
4. Step 4: Simplify right side
   10,265.25x = 81,996,234.72
5. Step 5: Solve for x
   x = 81,996,234.72/10,265.25
6. Step 6: Final answer
   x = 7,987.75